# STABLY CO-TAME POLYNOMIAL AUTOMORPHISMS OVER COMMUTATIVE RINGS

@article{Kuroda2016STABLYCP, title={STABLY CO-TAME POLYNOMIAL AUTOMORPHISMS OVER COMMUTATIVE RINGS}, author={Shigeru Kuroda}, journal={Transformation Groups}, year={2016}, volume={22}, pages={1031-1040} }

We say that a polynomial automorphism ϕ in n variables is stably co-tame if the tame subgroup in n variables is contained in the subgroup generated by ϕ and affine automorphisms in n+1 variables. In this paper, we give conditions for stable co-tameness of polynomial automorphisms.

#### 2 Citations

Permutation Groups Induced by Derksen Groups in Characteristic Two

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Co-tame polynomial automorphisms

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- Int. J. Algebra Comput.
- 2019

It is shown that the statement "Every $m$-triangular automorphism is either affine or co-tame" is true if and only if $m \leq 3$; this improves upon positive results of Bodnarchuk and negative results of the authors. Expand

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